61562500 has 48 divisors (see below), whose sum is σ = 135351216. Its totient is φ = 24500000.

The previous prime is 61562477. The next prime is 61562503. The reversal of 61562500 is 526516.

It can be written as a sum of positive squares in 8 ways, for example, as 59691076 + 1871424 = 7726^2 + 1368^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61562503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312402 + ... + 312598.

It is an arithmetic number, because the mean of its divisors is an integer number (2819817).

Almost surely, 2^61562500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61562500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67675608).

61562500 is an abundant number, since it is smaller than the sum of its proper divisors (73788716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61562500 is an frugal number, since it uses more digits than its factorization.

61562500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 61562500 is about 7846.1774132376. The cubic root of 61562500 is about 394.8560069074.

The spelling of 61562500 in words is "sixty-one million, five hundred sixty-two thousand, five hundred".